# Minimum cost to convert given string to consist of only vowels

• Last Updated : 02 Mar, 2022

Given string str of lower case alphabets, the task is to find the minimum cost to change the input string in a string that contains only vowels. Each consonant is changed to the nearest vowels. The cost is defined as the absolute difference between the ASCII value of consonant and vowel.

Examples:

Input: str = “abcde”
Output: 4
Explanation:
Here, a and e are already the vowels but b, c, and d are consonants. So b, c, and d are changed to nearest vowels as:
1. b –> a  = |98 – 97| = 1,
2. c –> a  = |99 – 97| = 2  or c –> e  = |99 – 101| = 2 ( to minimum the cost),
3. d –> e  = |100 – 101| = 1.
Therefore, the minimum cost is 1 + 2 + 1 = 4.

Input: str = “aaa”
Output: 0
Explanation:
There is no consonant in the string.

Approach: The idea is to traverse over the string and replace each consonant with their nearest vowel and add the cost as the difference between the consonants and changed vowel. Print the cost after all operations.

Below is the implementation of the above approach:

## C++

 `// C++ program for the above approach``#include``using` `namespace` `std;` `// Function to find the minimum cost``int` `min_cost(string st)``{``    ` `    ``// Store vowels``    ``string vow = ``"aeiou"``;``    ``int` `cost = 0;` `    ``// Loop for iteration of string``    ``for``(``int` `i = 0; i < st.size(); i++)``    ``{``        ``vector<``int``> costs;` `        ``// Loop to calculate the cost``        ``for``(``int` `j = 0; j < 5; j++)``            ``costs.push_back(``abs``(st[i] - vow[j]));``            ` `        ``// Add minimum cost``        ``cost += *min_element(costs.begin(),``                            ``costs.end());``    ``}``    ``return` `cost;``}` `// Driver Code``int` `main()``{``    ` `    ``// Given String``    ``string str = ``"abcde"``;``    ` `    ``// Function Call``    ``cout << (min_cost(str));``}` `// This code is contributed by grand_master`

## Java

 `// Java program for the above approach``import` `java.io.*;``import` `java.util.*;` `class` `GFG{` `// Function to find the minimum cost``static` `int` `min_cost(String st)``{``    ` `    ``// Store vowels``    ``String vow = ``"aeiou"``;``    ``int` `cost = ``0``;` `    ``// Loop for iteration of string``    ``for``(``int` `i = ``0``; i < st.length(); i++)``    ``{``        ``ArrayList costs = ``new` `ArrayList<>();` `        ``// Loop to calculate the cost``        ``for``(``int` `j = ``0``; j < ``5``; j++)``            ``costs.add(Math.abs(st.charAt(i) -``                              ``vow.charAt(j)));``            ` `        ``// Add minimum cost``        ``int` `minx = Integer.MAX_VALUE;``        ``for``(``int` `x : costs)``        ``{``            ``if``(x < minx)``            ``{``                ``minx = x;``            ``}``        ``}``        ``cost += minx;``    ``}``    ``return` `cost;``}` `// Driver Code``public` `static` `void` `main(String[] args)``{``    ` `    ``// Given string``    ``String str = ``"abcde"``;``    ` `    ``// Function call``    ``System.out.println(min_cost(str));``}``}` `// This code is contributed by rutvik_56`

## Python3

 `# Python3 program for above approach` `# Function to find the minimum cost``def` `min_cost(st):` `    ``# Store vowels``    ``vow ``=` `"aeiou"``    ``cost ``=` `0` `    ``# Loop for iteration of string``    ``for` `i ``in` `range``(``len``(st)):``        ``costs ``=` `[]` `        ``# Loop to calculate the cost``        ``for` `j ``in` `range``(``5``):``            ``costs.append(``abs``(``ord``(st[i])``-``ord``(vow[j])))``            ` `        ``# Add minimum cost``        ``cost ``+``=` `min``(costs)``    ``return` `cost` `# Driver Code` `# Given String``str` `=` `"abcde"` `# Function Call``print``(min_cost(``str``))`

## C#

 `// C# program for the above approach``using` `System;``using` `System.Collections.Generic;` `class` `GFG{`` ` `// Function to find the minimum cost``static` `int` `min_cost(``string` `st)``{``    ` `    ``// Store vowels``    ``string` `vow = ``"aeiou"``;``    ``int` `cost = 0;`` ` `    ``// Loop for iteration of string``    ``for``(``int` `i = 0; i < st.Length; i++)``    ``{``        ``List<``int``> costs = ``new` `List<``int``>();`` ` `        ``// Loop to calculate the cost``        ``for``(``int` `j = 0; j < 5; j++)``            ``costs.Add(Math.Abs(st[i] -``                              ``vow[j]));``             ` `        ``// Add minimum cost``        ``int` `minx = Int32.MaxValue;``        ``foreach``(``int` `x ``in` `costs)``        ``{``            ``if``(x < minx)``            ``{``                ``minx = x;``            ``}``        ``}``        ``cost += minx;``    ``}``    ``return` `cost;``}`` ` `// Driver Code``public` `static` `void` `Main()``{``     ` `    ``// Given string``    ``string` `str = ``"abcde"``;``     ` `    ``// Function call``    ``Console.WriteLine(min_cost(str));``}``}` `// This code is contributed by code_hunt`

## Javascript

 ``

Output:

`4`

Time Complexity: O(N), where N is the length of the string.
Auxiliary Space: O(1)

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